131331414456000000

Names of 131331414456000000

• Cardinal: 131331414456000000 can be written as One hundred thirty-one quadrillion, three hundred thirty-one trillion, four hundred fourteen billion, four hundred fifty-six million.

Scientific notation

• Scientific notation: 1.31331414456 × 10¹⁷

Factors of 131331414456000000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 160

Divisors of 131331414456000000

• Number of divisors d(n): 7560
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 29 30 32 33 36 37 40 44 45 48 50 55 58 60 64 66 72 73 74 75 80 87 88 90 96 99 100 110 111 116 120 125 128 132 144 145 146 148 150 160 165 174 176 180 185 192 198 200 219 220 222 225 232 240 250 256 261 264 275 288 290 292 296 300 319 320 330 333 348 352 360 365 370 375 384 396 400 407 435 438 440 444 450 464 480 495 500 512 522 528 550 555 576 580 584 592 600 625 638 640 657 660 666 696 704 720 725 730 740 750 768 792 800 803 814 825 841 870 876 880 888 900 925 928 957 960 990 1000 1044 1056 1073 1095 1100 1110 1125 1152 1160 1168 1184 1200 1221 1250 1276 1280 1305 1314 1320 1332 1375 1392 1408 1440 1450 1460 1480 1500 1536 1584 1595 1600 1606 1628 1650 1665 1682 1740 1752 1760 1776 1800 1825 1850 1856 1875 1914 1920 1980 2000 2035 2088 2112 2117 2146 2175 2190 2200 2220 2250 2304 2320 2336 2368 2400 2409 2442 2475 2500 2523 2552 2560 2610 2628 2640 2664 2701 2750 2775 2784 2816 2871 2880 2900 2920 2960 3000 3125 3168 3190 3200 3212 3219 3256 3285 3300 3330 3364 3480 3504 3520 3552 3600 3625 3650 3663 3700 3712 3750 3828 3840 3960 4000 4015 4070 4125 4176 4205 4224 4234 4292 4350 4380 4400 4440 4500 4608 4625 4640 4672 4736 4785 4800 4818 4884 4950 5000 5046 5104 5220 5256 5280 5328 5329 5365 5402 5475 5500 5550 5568 5625 5632 5742 5760 5800 5840 5920 6000 6105 6250 6336 6351 6380 6400 6424 6438 6512 6525 6570 6600 6660 6728 6875 6960 7008 7040 7104 7200 7227 7250 7300 7326 7400 7424 7500 7569 7656 7680 7920 7975 8000 8030 8103 8140 8250 8325 8352 8410 8448 8468 8584 8700 8760 8800 8880 9000 9125 9250 9251 9280 9344 9375 9472 9570 9600 9636 9657 9768 9900 10000 10092 10175 10208 10440 10512 10560 10585 10656 10658 10730 10804 10875 10950 11000 11100 11136 11250 11484 11520 11600 11680 11803 11840 12000 12045 12210 12375 12500 12615 12672 12702 12760 12800 12848 12876 13024 13050 13140 13200 13320 13456 13505 13750 13875 13920 14016 14080 14208 14355 14400 14454 14500 14600 14652 14800 14848 15000 15138 15312 15625 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8755427630400000 10944284538000000 11939219496000000 13133141445600000 14592379384000000 16416426807000000 21888569076000000 26266282891200000 32832853614000000 43777138152000000 65665707228000000 131331414456000000
• Sum of all divisors σ(n): 557392898491918632
• Sum of proper divisors (its aliquot sum) s(n): 426061484035918632
• 131331414456000000 is an abundant number, because the sum of its proper divisors (426061484035918632) is greater than itself. Its abundance is 294730069579918632

Bases of 131331414456000000

• Binary: 111010010100101010011100111000010011111111101111000000000₂
• Hexadecimal: 0x1D29539C27FDE00
• Base-36: ZX53MWAGSG0

Squares and roots of 131331414456000000

• 131331414456000000 squared (131331414456000000²) is 17247940423013645775936000000000000
• 131331414456000000 cubed (131331414456000000³) is 2265196412207201073943024527330816000000000000000000
• The square root of 131331414456000000 is 362396763.8597232287
• The cube root of 131331414456000000 is 508303.2352360473

Scales and comparisons

• 131,331,414,456,000,000 seconds is equal to 4,175,932,744 years, 50 weeks, 16 hours.
• To count from 1 to 131,331,414,456,000,000 would take you about twelve billion, five hundred twenty-seven million, seven hundred ninety-eight thousand, two hundred thirty-four years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 131331414456000000 cubic inches would be around 42358.6 feet tall.

Recreational maths with 131331414456000000

• 131331414456000000 backwards is 000000654414133131
• 131331414456000000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 131331414456000000's digits is 36
• More coming soon!